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| Author | : Yury J. Ionin |
| Publisher | : Cambridge University Press |
| Total Pages | : 8 |
| Release | : 2006-05-25 |
| Genre | : Mathematics |
| ISBN | : 1139449664 |
Download Combinatorics of Symmetric Designs Book in PDF, ePub and Kindle
The aim of this book is to provide a unified exposition of the theory of symmetric designs with emphasis on recent developments. The authors cover the combinatorial aspects of the theory giving particular attention to the construction of symmetric designs and related objects. The last five chapters of the book are devoted to balanced generalized weighing matrices, decomposable symmetric designs, subdesigns of symmetric designs, non-embeddable quasi-residual designs, and Ryser designs. Most results in these chapters have never previously appeared in book form. The book concludes with a comprehensive bibliography of over 400 entries. Researchers in all areas of combinatorial designs, including coding theory and finite geometries, will find much of interest here. Detailed proofs and a large number of exercises make this book suitable as a text for an advanced course in combinatorial designs.
| Author | : |
| Publisher | : |
| Total Pages | : 520 |
| Release | : 2006 |
| Genre | : Combinatorial analysis |
| ISBN | : 9780511220272 |
Download Combinatorics of Symmetric Designs Book in PDF, ePub and Kindle
This is a unified exposition of the theory of symmetric designs with emphasis on recent developments. The authors cover the combinatorial aspects of the theory giving particular attention to the construction of symmetric designs and related objects. For all researchers in combinatorial designs, coding theory, and finite geometries.
| Author | : Mohan S. Shrikhande |
| Publisher | : Cambridge University Press |
| Total Pages | : 245 |
| Release | : 1991-11-29 |
| Genre | : Computers |
| ISBN | : 0521414075 |
Download Quasi-symmetric Designs Book in PDF, ePub and Kindle
Design theory is a branch of combinatorics with applications in number theory, coding theory and geometry. In this book the authors discuss the generalization of results and applications to quasi-symmetric designs. The coverage is comprehensive and will be useful for researchers and graduate students. An attractive feature is the discussion of unsolved problems.
| Author | : Yury J. Ionin |
| Publisher | : Cambridge University Press |
| Total Pages | : 548 |
| Release | : 2006-05-25 |
| Genre | : Language Arts & Disciplines |
| ISBN | : 9780521818339 |
Download Combinatorics of Symmetric Designs Book in PDF, ePub and Kindle
The aim of this book is to provide a unified exposition of the theory of symmetric designs with emphasis on recent developments. The authors cover the combinatorial aspects of the theory giving particular attention to the construction of symmetric designs and related objects. All researchers in combinatorial designs, coding theory, and finite geometries will find much of interest here, and this book can also serve as a text for an advanced course in combinatorial designs.
| Author | : Douglas Stinson |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 306 |
| Release | : 2007-05-08 |
| Genre | : Mathematics |
| ISBN | : 0387217371 |
Download Combinatorial Designs Book in PDF, ePub and Kindle
Created to teach students many of the most important techniques used for constructing combinatorial designs, this is an ideal textbook for advanced undergraduate and graduate courses in combinatorial design theory. The text features clear explanations of basic designs, such as Steiner and Kirkman triple systems, mutual orthogonal Latin squares, finite projective and affine planes, and Steiner quadruple systems. In these settings, the student will master various construction techniques, both classic and modern, and will be well-prepared to construct a vast array of combinatorial designs. Design theory offers a progressive approach to the subject, with carefully ordered results. It begins with simple constructions that gradually increase in complexity. Each design has a construction that contains new ideas or that reinforces and builds upon similar ideas previously introduced. A new text/reference covering all apsects of modern combinatorial design theory. Graduates and professionals in computer science, applied mathematics, combinatorics, and applied statistics will find the book an essential resource.
| Author | : W.D. Wallis |
| Publisher | : CRC Press |
| Total Pages | : 324 |
| Release | : 2016-04-19 |
| Genre | : Computers |
| ISBN | : 1584888393 |
Download Introduction to Combinatorial Designs Book in PDF, ePub and Kindle
Combinatorial theory is one of the fastest growing areas of modern mathematics. Focusing on a major part of this subject, Introduction to Combinatorial Designs, Second Edition provides a solid foundation in the classical areas of design theory as well as in more contemporary designs based on applications in a variety of fields. After an o
| Author | : Charles J. Colbourn |
| Publisher | : CRC Press |
| Total Pages | : 778 |
| Release | : 2010-12-12 |
| Genre | : Mathematics |
| ISBN | : 9781420049954 |
Download CRC Handbook of Combinatorial Designs Book in PDF, ePub and Kindle
From experimental design to cryptography, this comprehensive, easy-to-access reference contains literally all the facts you need on combinatorial designs. It includes constructions of designs, existence results, and properties of designs. Organized into six main parts, the CRC Handbook of Combinatorial Designs covers:
| Author | : C.J. Colbourn |
| Publisher | : Elsevier |
| Total Pages | : 347 |
| Release | : 1985-01-01 |
| Genre | : Mathematics |
| ISBN | : 0080872255 |
Download Algorithms in Combinatorial Design Theory Book in PDF, ePub and Kindle
The scope of the volume includes all algorithmic and computational aspects of research on combinatorial designs. Algorithmic aspects include generation, isomorphism and analysis techniques - both heuristic methods used in practice, and the computational complexity of these operations. The scope within design theory includes all aspects of block designs, Latin squares and their variants, pairwise balanced designs and projective planes and related geometries.
| Author | : Eric S. Lander |
| Publisher | : |
| Total Pages | : 306 |
| Release | : 1983 |
| Genre | : Combinatorial designs and configurations |
| ISBN | : 9781107366107 |
Download Symmetric Designs Book in PDF, ePub and Kindle
Symmetric designs are an important class of combinatorial structures which arose first in the statistics and are now especially important in the study of finite geometries.
| Author | : Kathleen Quinn |
| Publisher | : CRC Press |
| Total Pages | : 164 |
| Release | : 1999-01-29 |
| Genre | : Mathematics |
| ISBN | : 9780849306594 |
Download Combinatorial Designs and their Applications Book in PDF, ePub and Kindle
The fruit of a conference that gathered seven very active researchers in the field, Combinatorial Design and their Applications presents a wide but representative range of topics on the non-geometrical aspects of design theory. By concentrating on a few important areas, the authors succeed in providing greater detail in these areas in a more complete and accessible form. Through their contributions to this collection, they help fill a gap in the available combinatorics literature. The papers included in this volume cover recent developments in areas of current interest, such as difference sets, cryptography, and optimal linear codes. Researchers in combinatorics and other areas of pure mathematics, along with researchers in statistics and computer design will find in-depth, up-to-date discussions of design theory and the application of the theory to statistical design, codes, and cryptography.
